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53314624341 = 32111723750363
BaseRepresentation
bin110001101001110011…
…001001101101010101
312002121120212112102100
4301221303021231111
51333142020434331
640254205232313
73565120554366
oct615163115525
9162546775370
1053314624341
1120679796410
12a3bab62699
1350486a26c4
14281aa35b6d
1515c0885ae6
hexc69cc9b55

53314624341 has 72 divisors (see below), whose sum is σ = 91657242144. Its totient is φ = 29588682240.

The previous prime is 53314624333. The next prime is 53314624343. The reversal of 53314624341 is 14342641335.

53314624341 is a `hidden beast` number, since 5 + 331 + 46 + 243 + 41 = 666.

It is not a de Polignac number, because 53314624341 - 23 = 53314624333 is a prime.

It is a super-3 number, since 3×533146243413 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53314624296 and 53314624305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53314624343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1033426 + ... + 1083788.

It is an arithmetic number, because the mean of its divisors is an integer number (1273017252).

Almost surely, 253314624341 is an apocalyptic number.

53314624341 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

53314624341 is a deficient number, since it is larger than the sum of its proper divisors (38342617803).

53314624341 is a wasteful number, since it uses less digits than its factorization.

53314624341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50451 (or 50431 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 53314624341 in words is "fifty-three billion, three hundred fourteen million, six hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 289 333 407 561 629 867 1221 1683 1887 2601 3179 3663 5661 6919 9537 10693 20757 28611 32079 50363 62271 96237 117623 151089 352869 453267 553993 856171 1058607 1661979 1863431 2568513 4985937 5590293 7705539 9417881 14554907 16770879 20497741 28253643 31678327 43664721 61493223 84760929 95034981 130994163 160103977 184479669 285104943 348461597 480311931 538531559 1045384791 1440935793 1615594677 3136154373 4846784031 5923847149 17771541447 53314624341